Details

Time bar (total: 5.8s)

sample44.0ms

Algorithm
intervals
Results
29.0ms262×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.7b
(+ (* x y) (* z (- t a)))
18.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
times-frac
add-exp-log associate-+r+ add-cbrt-cube add-log-exp
pow1 distribute-rgt-in sub-neg distribute-lft-in
associate-*r*
flip3-+ flip-+
associate-*l* associate-/r* associate-/l*
+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
9.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (* z (- b y)))
38.0ms
(* z (- t a))
41.0ms
(+ (* x y) (* z (- t a)))
321.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359708
11499648
25001648

prune297.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.7b
(+ (* x y) (* z (- t a)))
1.0b
(/ 1 (+ y (* z (- b y))))
17.7b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
pow1
associate-*l* add-log-exp
flip3-+ prod-exp flip-+
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
associate-*r/ associate-/r* cbrt-unprod associate-/l*
cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
9.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
4.0ms
(/ 1 (+ y (* z (- b y))))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
41.0ms
(+ (* x y) (* z (- t a)))
82.0ms
(/ 1 (+ y (* z (- b y))))
316.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0448957
12212849
25002823

prune311.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 18.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
0.7b
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
18.0b
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
10×cbrt-prod
times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1 cbrt-div
flip3-+ associate-/r* flip-+ associate-/l*
flip3-- pow1/3 associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 72
Calls
4 calls:
2.0ms
(cbrt (- t a))
2.0ms
(cbrt (- t a))
3.0ms
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
12.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- t a))
158.0ms
(cbrt (- t a))
43.0ms
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
322.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03841164
113071034
250011011

prune324.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 18.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
1.0b
(/ 1 (+ y (* z (- b y))))
17.7b
(* (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
distribute-rgt-in associate-+r+ distribute-lft-in
pow1
add-log-exp
flip3-+ flip-+
sub-neg div-exp prod-exp associate-/r/
cbrt-prod associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
+-commutative pow-flip frac-2neg pow1/3 associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 105
Calls
4 calls:
0.0ms
(cbrt z)
4.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
4.0ms
(/ 1 (+ y (* z (- b y))))
18.0ms
(* (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (/ 1 (+ y (* z (- b y)))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
110.0ms
(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
85.0ms
(/ 1 (+ y (* z (- b y))))
377.0ms
(* (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04351315
120161163
250021058

prune342.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 18.0b

regimes403.0ms

Accuracy

0% (0.7b remaining)

Error of 22.8b against oracle of 22.1b and baseline of 22.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.2s

Algorithm
intervals
Results
911.0ms8405×body80valid